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Finding the Fourth Proportional to 230,117.60, 317,561.64 and 129,515.60

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Solution

The fourth proportional to 230,117.60, 317,561.64 and 129,515.60 is: 178,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,117.60 : 317,561.64 = 129,515.60 : x
  2. Step 2: Convert to fraction form
    230,117.60/317,561.64 = 129,515.60/x
  3. Step 3: Cross multiply
    230,117.60x = 317,561.64 × 129,515.60
  4. Step 4: Simplify right side
    230,117.60x = 41,129,186,341.58
  5. Step 5: Solve for x
    x = 41,129,186,341.58/230,117.60
  6. Step 6: Final answer
    x = 178,731.16

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1.5x scale

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.