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Finding the Fourth Proportional to 70,148, 96,807.12 and 40,340

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Solution

The fourth proportional to 70,148, 96,807.12 and 40,340 is: 55,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,148 : 96,807.12 = 40,340 : x
  2. Step 2: Convert to fraction form
    70,148/96,807.12 = 40,340/x
  3. Step 3: Cross multiply
    70,148x = 96,807.12 × 40,340
  4. Step 4: Simplify right side
    70,148x = 3,905,199,220.80
  5. Step 5: Solve for x
    x = 3,905,199,220.80/70,148
  6. Step 6: Final answer
    x = 55,670.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.