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Finding the Fourth Proportional to 162,978.12, 224,909.40 and 99,316.08

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Solution

The fourth proportional to 162,978.12, 224,909.40 and 99,316.08 is: 137,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,978.12 : 224,909.40 = 99,316.08 : x
  2. Step 2: Convert to fraction form
    162,978.12/224,909.40 = 99,316.08/x
  3. Step 3: Cross multiply
    162,978.12x = 224,909.40 × 99,316.08
  4. Step 4: Simplify right side
    162,978.12x = 22,337,119,963.15
  5. Step 5: Solve for x
    x = 22,337,119,963.15/162,978.12
  6. Step 6: Final answer
    x = 137,055.94

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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.