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Finding the Fourth Proportional to 120,421.59, 180,641.95 and 40,459.85

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Solution

The fourth proportional to 120,421.59, 180,641.95 and 40,459.85 is: 60,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,421.59 : 180,641.95 = 40,459.85 : x
  2. Step 2: Convert to fraction form
    120,421.59/180,641.95 = 40,459.85/x
  3. Step 3: Cross multiply
    120,421.59x = 180,641.95 × 40,459.85
  4. Step 4: Simplify right side
    120,421.59x = 7,308,746,889.87
  5. Step 5: Solve for x
    x = 7,308,746,889.87/120,421.59
  6. Step 6: Final answer
    x = 60,693.00

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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.