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Finding the Fourth Proportional to 70,418.64, 97,177.71 and 42,130.98

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Solution

The fourth proportional to 70,418.64, 97,177.71 and 42,130.98 is: 58,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,418.64 : 97,177.71 = 42,130.98 : x
  2. Step 2: Convert to fraction form
    70,418.64/97,177.71 = 42,130.98/x
  3. Step 3: Cross multiply
    70,418.64x = 97,177.71 × 42,130.98
  4. Step 4: Simplify right side
    70,418.64x = 4,094,192,156.46
  5. Step 5: Solve for x
    x = 4,094,192,156.46/70,418.64
  6. Step 6: Final answer
    x = 58,140.74

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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.