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Finding the Fourth Proportional to 157,281.12, 235,831.71 and 72,997.88

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Solution

The fourth proportional to 157,281.12, 235,831.71 and 72,997.88 is: 109,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,281.12 : 235,831.71 = 72,997.88 : x
  2. Step 2: Convert to fraction form
    157,281.12/235,831.71 = 72,997.88/x
  3. Step 3: Cross multiply
    157,281.12x = 235,831.71 × 72,997.88
  4. Step 4: Simplify right side
    157,281.12x = 17,215,214,866.77
  5. Step 5: Solve for x
    x = 17,215,214,866.77/157,281.12
  6. Step 6: Final answer
    x = 109,455.07

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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.