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Finding the Fourth Proportional to 97,765.86, 134,900.46 and 56,938.62

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Solution

The fourth proportional to 97,765.86, 134,900.46 and 56,938.62 is: 78,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.86 : 134,900.46 = 56,938.62 : x
  2. Step 2: Convert to fraction form
    97,765.86/134,900.46 = 56,938.62/x
  3. Step 3: Cross multiply
    97,765.86x = 134,900.46 × 56,938.62
  4. Step 4: Simplify right side
    97,765.86x = 7,681,046,029.77
  5. Step 5: Solve for x
    x = 7,681,046,029.77/97,765.86
  6. Step 6: Final answer
    x = 78,565.73

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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.