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Finding the Fourth Proportional to 75,478.62, 103,980.47 and 52,775.13

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Solution

The fourth proportional to 75,478.62, 103,980.47 and 52,775.13 is: 72,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.62 : 103,980.47 = 52,775.13 : x
  2. Step 2: Convert to fraction form
    75,478.62/103,980.47 = 52,775.13/x
  3. Step 3: Cross multiply
    75,478.62x = 103,980.47 × 52,775.13
  4. Step 4: Simplify right side
    75,478.62x = 5,487,582,821.71
  5. Step 5: Solve for x
    x = 5,487,582,821.71/75,478.62
  6. Step 6: Final answer
    x = 72,703.80

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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.