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Finding the Fourth Proportional to 120,978.60, 181,424.70 and 42,095.40

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Solution

The fourth proportional to 120,978.60, 181,424.70 and 42,095.40 is: 63,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978.60 : 181,424.70 = 42,095.40 : x
  2. Step 2: Convert to fraction form
    120,978.60/181,424.70 = 42,095.40/x
  3. Step 3: Cross multiply
    120,978.60x = 181,424.70 × 42,095.40
  4. Step 4: Simplify right side
    120,978.60x = 7,637,145,316.38
  5. Step 5: Solve for x
    x = 7,637,145,316.38/120,978.60
  6. Step 6: Final answer
    x = 63,128.07

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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.