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Finding the Fourth Proportional to 120,464.61, 180,546.98 and 77,657.16

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Solution

The fourth proportional to 120,464.61, 180,546.98 and 77,657.16 is: 116,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,464.61 : 180,546.98 = 77,657.16 : x
  2. Step 2: Convert to fraction form
    120,464.61/180,546.98 = 77,657.16/x
  3. Step 3: Cross multiply
    120,464.61x = 180,546.98 × 77,657.16
  4. Step 4: Simplify right side
    120,464.61x = 14,020,765,713.38
  5. Step 5: Solve for x
    x = 14,020,765,713.38/120,464.61
  6. Step 6: Final answer
    x = 116,389.08

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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.