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Finding the Fourth Proportional to 218,642.16, 301,709.04 and 127,985.52

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Solution

The fourth proportional to 218,642.16, 301,709.04 and 127,985.52 is: 176,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,642.16 : 301,709.04 = 127,985.52 : x
  2. Step 2: Convert to fraction form
    218,642.16/301,709.04 = 127,985.52/x
  3. Step 3: Cross multiply
    218,642.16x = 301,709.04 × 127,985.52
  4. Step 4: Simplify right side
    218,642.16x = 38,614,388,373.10
  5. Step 5: Solve for x
    x = 38,614,388,373.10/218,642.16
  6. Step 6: Final answer
    x = 176,609.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.