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Finding the Fourth Proportional to 152,451.52, 210,364.96 and 87,920

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Solution

The fourth proportional to 152,451.52, 210,364.96 and 87,920 is: 121,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,451.52 : 210,364.96 = 87,920 : x
  2. Step 2: Convert to fraction form
    152,451.52/210,364.96 = 87,920/x
  3. Step 3: Cross multiply
    152,451.52x = 210,364.96 × 87,920
  4. Step 4: Simplify right side
    152,451.52x = 18,495,287,283.20
  5. Step 5: Solve for x
    x = 18,495,287,283.20/152,451.52
  6. Step 6: Final answer
    x = 121,319.14

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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.