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Finding the Fourth Proportional to 71,707.04, 107,575.08 and 30,154

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Solution

The fourth proportional to 71,707.04, 107,575.08 and 30,154 is: 45,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707.04 : 107,575.08 = 30,154 : x
  2. Step 2: Convert to fraction form
    71,707.04/107,575.08 = 30,154/x
  3. Step 3: Cross multiply
    71,707.04x = 107,575.08 × 30,154
  4. Step 4: Simplify right side
    71,707.04x = 3,243,818,962.32
  5. Step 5: Solve for x
    x = 3,243,818,962.32/71,707.04
  6. Step 6: Final answer
    x = 45,237.11

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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.