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Finding the Fourth Proportional to 76,506.54, 105,577.47 and 42,972.54

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Solution

The fourth proportional to 76,506.54, 105,577.47 and 42,972.54 is: 59,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.54 : 105,577.47 = 42,972.54 : x
  2. Step 2: Convert to fraction form
    76,506.54/105,577.47 = 42,972.54/x
  3. Step 3: Cross multiply
    76,506.54x = 105,577.47 × 42,972.54
  4. Step 4: Simplify right side
    76,506.54x = 4,536,932,052.67
  5. Step 5: Solve for x
    x = 4,536,932,052.67/76,506.54
  6. Step 6: Final answer
    x = 59,301.23

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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.