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Finding the Fourth Proportional to 157,215.70, 235,359.42 and 103,809.16

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Solution

The fourth proportional to 157,215.70, 235,359.42 and 103,809.16 is: 155,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,215.70 : 235,359.42 = 103,809.16 : x
  2. Step 2: Convert to fraction form
    157,215.70/235,359.42 = 103,809.16/x
  3. Step 3: Cross multiply
    157,215.70x = 235,359.42 × 103,809.16
  4. Step 4: Simplify right side
    157,215.70x = 24,432,463,688.29
  5. Step 5: Solve for x
    x = 24,432,463,688.29/157,215.70
  6. Step 6: Final answer
    x = 155,407.28

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1.5x scale

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.