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Finding the Fourth Proportional to 120,970.60, 181,412.70 and 42,087.40

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Solution

The fourth proportional to 120,970.60, 181,412.70 and 42,087.40 is: 63,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.60 : 181,412.70 = 42,087.40 : x
  2. Step 2: Convert to fraction form
    120,970.60/181,412.70 = 42,087.40/x
  3. Step 3: Cross multiply
    120,970.60x = 181,412.70 × 42,087.40
  4. Step 4: Simplify right side
    120,970.60x = 7,635,188,869.98
  5. Step 5: Solve for x
    x = 7,635,188,869.98/120,970.60
  6. Step 6: Final answer
    x = 63,116.07

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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.