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Finding the Fourth Proportional to 103,045.76, 154,114.32 and 89,704.16

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Solution

The fourth proportional to 103,045.76, 154,114.32 and 89,704.16 is: 134,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,045.76 : 154,114.32 = 89,704.16 : x
  2. Step 2: Convert to fraction form
    103,045.76/154,114.32 = 89,704.16/x
  3. Step 3: Cross multiply
    103,045.76x = 154,114.32 × 89,704.16
  4. Step 4: Simplify right side
    103,045.76x = 13,824,695,619.57
  5. Step 5: Solve for x
    x = 13,824,695,619.57/103,045.76
  6. Step 6: Final answer
    x = 134,160.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.