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Finding the Fourth Proportional to 76,482, 105,545.16 and 42,948

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Solution

The fourth proportional to 76,482, 105,545.16 and 42,948 is: 59,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482 : 105,545.16 = 42,948 : x
  2. Step 2: Convert to fraction form
    76,482/105,545.16 = 42,948/x
  3. Step 3: Cross multiply
    76,482x = 105,545.16 × 42,948
  4. Step 4: Simplify right side
    76,482x = 4,532,953,531.68
  5. Step 5: Solve for x
    x = 4,532,953,531.68/76,482
  6. Step 6: Final answer
    x = 59,268.24

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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.