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Finding the Fourth Proportional to 120,864.60, 181,296.90 and 64,877.40

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Solution

The fourth proportional to 120,864.60, 181,296.90 and 64,877.40 is: 97,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864.60 : 181,296.90 = 64,877.40 : x
  2. Step 2: Convert to fraction form
    120,864.60/181,296.90 = 64,877.40/x
  3. Step 3: Cross multiply
    120,864.60x = 181,296.90 × 64,877.40
  4. Step 4: Simplify right side
    120,864.60x = 11,762,071,500.06
  5. Step 5: Solve for x
    x = 11,762,071,500.06/120,864.60
  6. Step 6: Final answer
    x = 97,316.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.