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Finding the Fourth Proportional to 78,457.70, 117,686.55 and 28,539.43

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Solution

The fourth proportional to 78,457.70, 117,686.55 and 28,539.43 is: 42,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457.70 : 117,686.55 = 28,539.43 : x
  2. Step 2: Convert to fraction form
    78,457.70/117,686.55 = 28,539.43/x
  3. Step 3: Cross multiply
    78,457.70x = 117,686.55 × 28,539.43
  4. Step 4: Simplify right side
    78,457.70x = 3,358,706,467.23
  5. Step 5: Solve for x
    x = 3,358,706,467.23/78,457.70
  6. Step 6: Final answer
    x = 42,809.14

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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.