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Finding the Fourth Proportional to 145,154.98, 200,278.80 and 84,691.12

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Solution

The fourth proportional to 145,154.98, 200,278.80 and 84,691.12 is: 116,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,154.98 : 200,278.80 = 84,691.12 : x
  2. Step 2: Convert to fraction form
    145,154.98/200,278.80 = 84,691.12/x
  3. Step 3: Cross multiply
    145,154.98x = 200,278.80 × 84,691.12
  4. Step 4: Simplify right side
    145,154.98x = 16,961,835,884.26
  5. Step 5: Solve for x
    x = 16,961,835,884.26/145,154.98
  6. Step 6: Final answer
    x = 116,853.28

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1.5x scale

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.