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Finding the Fourth Proportional to 102,159.74, 153,104.70 and 78,376.42

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Solution

The fourth proportional to 102,159.74, 153,104.70 and 78,376.42 is: 117,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.74 : 153,104.70 = 78,376.42 : x
  2. Step 2: Convert to fraction form
    102,159.74/153,104.70 = 78,376.42/x
  3. Step 3: Cross multiply
    102,159.74x = 153,104.70 × 78,376.42
  4. Step 4: Simplify right side
    102,159.74x = 11,999,798,271.17
  5. Step 5: Solve for x
    x = 11,999,798,271.17/102,159.74
  6. Step 6: Final answer
    x = 117,461.13

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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.