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Finding the Fourth Proportional to 156,751.98, 216,319.32 and 85,133.40

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Solution

The fourth proportional to 156,751.98, 216,319.32 and 85,133.40 is: 117,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,751.98 : 216,319.32 = 85,133.40 : x
  2. Step 2: Convert to fraction form
    156,751.98/216,319.32 = 85,133.40/x
  3. Step 3: Cross multiply
    156,751.98x = 216,319.32 × 85,133.40
  4. Step 4: Simplify right side
    156,751.98x = 18,415,999,197.29
  5. Step 5: Solve for x
    x = 18,415,999,197.29/156,751.98
  6. Step 6: Final answer
    x = 117,484.95

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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.