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Finding the Fourth Proportional to 70,830.40, 97,746.40 and 38,997.76

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Solution

The fourth proportional to 70,830.40, 97,746.40 and 38,997.76 is: 53,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.40 : 97,746.40 = 38,997.76 : x
  2. Step 2: Convert to fraction form
    70,830.40/97,746.40 = 38,997.76/x
  3. Step 3: Cross multiply
    70,830.40x = 97,746.40 × 38,997.76
  4. Step 4: Simplify right side
    70,830.40x = 3,811,890,648.06
  5. Step 5: Solve for x
    x = 3,811,890,648.06/70,830.40
  6. Step 6: Final answer
    x = 53,817.16

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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.