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Finding the Fourth Proportional to 145,598.52, 200,909.46 and 81,934.68

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Solution

The fourth proportional to 145,598.52, 200,909.46 and 81,934.68 is: 113,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,598.52 : 200,909.46 = 81,934.68 : x
  2. Step 2: Convert to fraction form
    145,598.52/200,909.46 = 81,934.68/x
  3. Step 3: Cross multiply
    145,598.52x = 200,909.46 × 81,934.68
  4. Step 4: Simplify right side
    145,598.52x = 16,461,452,314.07
  5. Step 5: Solve for x
    x = 16,461,452,314.07/145,598.52
  6. Step 6: Final answer
    x = 113,060.57

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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.