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Finding the Fourth Proportional to 144,506.80, 216,760.56 and 77,978.24

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Solution

The fourth proportional to 144,506.80, 216,760.56 and 77,978.24 is: 116,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,506.80 : 216,760.56 = 77,978.24 : x
  2. Step 2: Convert to fraction form
    144,506.80/216,760.56 = 77,978.24/x
  3. Step 3: Cross multiply
    144,506.80x = 216,760.56 × 77,978.24
  4. Step 4: Simplify right side
    144,506.80x = 16,902,606,970.21
  5. Step 5: Solve for x
    x = 16,902,606,970.21/144,506.80
  6. Step 6: Final answer
    x = 116,967.55

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1.5x scale

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.