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Finding the Fourth Proportional to 145,909.14, 201,354.54 and 78,841.14

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Solution

The fourth proportional to 145,909.14, 201,354.54 and 78,841.14 is: 108,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.14 : 201,354.54 = 78,841.14 : x
  2. Step 2: Convert to fraction form
    145,909.14/201,354.54 = 78,841.14/x
  3. Step 3: Cross multiply
    145,909.14x = 201,354.54 × 78,841.14
  4. Step 4: Simplify right side
    145,909.14x = 15,875,021,477.78
  5. Step 5: Solve for x
    x = 15,875,021,477.78/145,909.14
  6. Step 6: Final answer
    x = 108,800.73

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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.