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Finding the Fourth Proportional to 162,987.76, 224,925.15 and 99,331.48

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Solution

The fourth proportional to 162,987.76, 224,925.15 and 99,331.48 is: 137,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,987.76 : 224,925.15 = 99,331.48 : x
  2. Step 2: Convert to fraction form
    162,987.76/224,925.15 = 99,331.48/x
  3. Step 3: Cross multiply
    162,987.76x = 224,925.15 × 99,331.48
  4. Step 4: Simplify right side
    162,987.76x = 22,342,148,038.72
  5. Step 5: Solve for x
    x = 22,342,148,038.72/162,987.76
  6. Step 6: Final answer
    x = 137,078.69

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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.