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Finding the Fourth Proportional to 156,842.70, 216,443.85 and 85,222.71

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Solution

The fourth proportional to 156,842.70, 216,443.85 and 85,222.71 is: 117,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,842.70 : 216,443.85 = 85,222.71 : x
  2. Step 2: Convert to fraction form
    156,842.70/216,443.85 = 85,222.71/x
  3. Step 3: Cross multiply
    156,842.70x = 216,443.85 × 85,222.71
  4. Step 4: Simplify right side
    156,842.70x = 18,445,931,459.83
  5. Step 5: Solve for x
    x = 18,445,931,459.83/156,842.70
  6. Step 6: Final answer
    x = 117,607.84

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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.