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Finding the Fourth Proportional to 157,312.32, 216,918.72 and 142,382.40

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Solution

The fourth proportional to 157,312.32, 216,918.72 and 142,382.40 is: 196,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,312.32 : 216,918.72 = 142,382.40 : x
  2. Step 2: Convert to fraction form
    157,312.32/216,918.72 = 142,382.40/x
  3. Step 3: Cross multiply
    157,312.32x = 216,918.72 × 142,382.40
  4. Step 4: Simplify right side
    157,312.32x = 30,885,407,958.53
  5. Step 5: Solve for x
    x = 30,885,407,958.53/157,312.32
  6. Step 6: Final answer
    x = 196,331.78

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1.5x scale

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.