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Finding the Fourth Proportional to 76,504.32, 105,580.80 and 42,972.48

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Solution

The fourth proportional to 76,504.32, 105,580.80 and 42,972.48 is: 59,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504.32 : 105,580.80 = 42,972.48 : x
  2. Step 2: Convert to fraction form
    76,504.32/105,580.80 = 42,972.48/x
  3. Step 3: Cross multiply
    76,504.32x = 105,580.80 × 42,972.48
  4. Step 4: Simplify right side
    76,504.32x = 4,537,068,816.38
  5. Step 5: Solve for x
    x = 4,537,068,816.38/76,504.32
  6. Step 6: Final answer
    x = 59,304.74

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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.