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Finding the Fourth Proportional to 129,053.80, 178,088.74 and 75,341.80

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Solution

The fourth proportional to 129,053.80, 178,088.74 and 75,341.80 is: 103,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,053.80 : 178,088.74 = 75,341.80 : x
  2. Step 2: Convert to fraction form
    129,053.80/178,088.74 = 75,341.80/x
  3. Step 3: Cross multiply
    129,053.80x = 178,088.74 × 75,341.80
  4. Step 4: Simplify right side
    129,053.80x = 13,417,526,231.33
  5. Step 5: Solve for x
    x = 13,417,526,231.33/129,053.80
  6. Step 6: Final answer
    x = 103,968.47

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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.