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Finding the Fourth Proportional to 153,386.64, 211,658.40 and 89,712

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Solution

The fourth proportional to 153,386.64, 211,658.40 and 89,712 is: 123,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,386.64 : 211,658.40 = 89,712 : x
  2. Step 2: Convert to fraction form
    153,386.64/211,658.40 = 89,712/x
  3. Step 3: Cross multiply
    153,386.64x = 211,658.40 × 89,712
  4. Step 4: Simplify right side
    153,386.64x = 18,988,298,380.80
  5. Step 5: Solve for x
    x = 18,988,298,380.80/153,386.64
  6. Step 6: Final answer
    x = 123,793.69

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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.