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Finding the Fourth Proportional to 78,328,643.76, 117,492,944.04 and 24,475,955.76

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Solution

The fourth proportional to 78,328,643.76, 117,492,944.04 and 24,475,955.76 is: 36,713,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,328,643.76 : 117,492,944.04 = 24,475,955.76 : x
  2. Step 2: Convert to fraction form
    78,328,643.76/117,492,944.04 = 24,475,955.76/x
  3. Step 3: Cross multiply
    78,328,643.76x = 117,492,944.04 × 24,475,955.76
  4. Step 4: Simplify right side
    78,328,643.76x = 2,875,752,100,435,196
  5. Step 5: Solve for x
    x = 2,875,752,100,435,196/78,328,643.76
  6. Step 6: Final answer
    x = 36,713,926.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.