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Finding the Fourth Proportional to 144,028.80, 215,978.40 and 65,102.40

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Solution

The fourth proportional to 144,028.80, 215,978.40 and 65,102.40 is: 97,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,028.80 : 215,978.40 = 65,102.40 : x
  2. Step 2: Convert to fraction form
    144,028.80/215,978.40 = 65,102.40/x
  3. Step 3: Cross multiply
    144,028.80x = 215,978.40 × 65,102.40
  4. Step 4: Simplify right side
    144,028.80x = 14,060,712,188.16
  5. Step 5: Solve for x
    x = 14,060,712,188.16/144,028.80
  6. Step 6: Final answer
    x = 97,624.31

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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.