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Finding the Fourth Proportional to 70,459.78, 97,264.92 and 42,160

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Solution

The fourth proportional to 70,459.78, 97,264.92 and 42,160 is: 58,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,459.78 : 97,264.92 = 42,160 : x
  2. Step 2: Convert to fraction form
    70,459.78/97,264.92 = 42,160/x
  3. Step 3: Cross multiply
    70,459.78x = 97,264.92 × 42,160
  4. Step 4: Simplify right side
    70,459.78x = 4,100,689,027.20
  5. Step 5: Solve for x
    x = 4,100,689,027.20/70,459.78
  6. Step 6: Final answer
    x = 58,199.00

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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.