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Finding the Fourth Proportional to 230,076, 317,504.88 and 129,476.16

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Solution

The fourth proportional to 230,076, 317,504.88 and 129,476.16 is: 178,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,076 : 317,504.88 = 129,476.16 : x
  2. Step 2: Convert to fraction form
    230,076/317,504.88 = 129,476.16/x
  3. Step 3: Cross multiply
    230,076x = 317,504.88 × 129,476.16
  4. Step 4: Simplify right side
    230,076x = 41,109,312,643.66
  5. Step 5: Solve for x
    x = 41,109,312,643.66/230,076
  6. Step 6: Final answer
    x = 178,677.10

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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.