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Finding the Fourth Proportional to 287,972.94, 432,042.32 and 88,322.61

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Solution

The fourth proportional to 287,972.94, 432,042.32 and 88,322.61 is: 132,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,972.94 : 432,042.32 = 88,322.61 : x
  2. Step 2: Convert to fraction form
    287,972.94/432,042.32 = 88,322.61/x
  3. Step 3: Cross multiply
    287,972.94x = 432,042.32 × 88,322.61
  4. Step 4: Simplify right side
    287,972.94x = 38,159,105,332.86
  5. Step 5: Solve for x
    x = 38,159,105,332.86/287,972.94
  6. Step 6: Final answer
    x = 132,509.34

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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.