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Finding the Fourth Proportional to 118,412.86, 163,412.10 and 64,701.20

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Solution

The fourth proportional to 118,412.86, 163,412.10 and 64,701.20 is: 89,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,412.86 : 163,412.10 = 64,701.20 : x
  2. Step 2: Convert to fraction form
    118,412.86/163,412.10 = 64,701.20/x
  3. Step 3: Cross multiply
    118,412.86x = 163,412.10 × 64,701.20
  4. Step 4: Simplify right side
    118,412.86x = 10,572,958,964.52
  5. Step 5: Solve for x
    x = 10,572,958,964.52/118,412.86
  6. Step 6: Final answer
    x = 89,288.94

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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.