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Finding the Fourth Proportional to 61,142.16, 84,304.16 and 56,607.78

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Solution

The fourth proportional to 61,142.16, 84,304.16 and 56,607.78 is: 78,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.16 : 84,304.16 = 56,607.78 : x
  2. Step 2: Convert to fraction form
    61,142.16/84,304.16 = 56,607.78/x
  3. Step 3: Cross multiply
    61,142.16x = 84,304.16 × 56,607.78
  4. Step 4: Simplify right side
    61,142.16x = 4,772,271,342.36
  5. Step 5: Solve for x
    x = 4,772,271,342.36/61,142.16
  6. Step 6: Final answer
    x = 78,052.06

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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.