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Finding the Fourth Proportional to 71,705.04, 107,572.08 and 30,152

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Solution

The fourth proportional to 71,705.04, 107,572.08 and 30,152 is: 45,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.04 : 107,572.08 = 30,152 : x
  2. Step 2: Convert to fraction form
    71,705.04/107,572.08 = 30,152/x
  3. Step 3: Cross multiply
    71,705.04x = 107,572.08 × 30,152
  4. Step 4: Simplify right side
    71,705.04x = 3,243,513,356.16
  5. Step 5: Solve for x
    x = 3,243,513,356.16/71,705.04
  6. Step 6: Final answer
    x = 45,234.11

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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.