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Finding the Fourth Proportional to 102,070.62, 153,085.88 and 97,007.21

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Solution

The fourth proportional to 102,070.62, 153,085.88 and 97,007.21 is: 145,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.62 : 153,085.88 = 97,007.21 : x
  2. Step 2: Convert to fraction form
    102,070.62/153,085.88 = 97,007.21/x
  3. Step 3: Cross multiply
    102,070.62x = 153,085.88 × 97,007.21
  4. Step 4: Simplify right side
    102,070.62x = 14,850,432,858.73
  5. Step 5: Solve for x
    x = 14,850,432,858.73/102,070.62
  6. Step 6: Final answer
    x = 145,491.75

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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.