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Finding the Fourth Proportional to 76,354.32, 105,368.76 and 42,821.04

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Solution

The fourth proportional to 76,354.32, 105,368.76 and 42,821.04 is: 59,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.32 : 105,368.76 = 42,821.04 : x
  2. Step 2: Convert to fraction form
    76,354.32/105,368.76 = 42,821.04/x
  3. Step 3: Cross multiply
    76,354.32x = 105,368.76 × 42,821.04
  4. Step 4: Simplify right side
    76,354.32x = 4,511,999,886.71
  5. Step 5: Solve for x
    x = 4,511,999,886.71/76,354.32
  6. Step 6: Final answer
    x = 59,092.92

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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.