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Finding the Fourth Proportional to 78,802.70, 108,748.08 and 42,993.45

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Solution

The fourth proportional to 78,802.70, 108,748.08 and 42,993.45 is: 59,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802.70 : 108,748.08 = 42,993.45 : x
  2. Step 2: Convert to fraction form
    78,802.70/108,748.08 = 42,993.45/x
  3. Step 3: Cross multiply
    78,802.70x = 108,748.08 × 42,993.45
  4. Step 4: Simplify right side
    78,802.70x = 4,675,455,140.08
  5. Step 5: Solve for x
    x = 4,675,455,140.08/78,802.70
  6. Step 6: Final answer
    x = 59,331.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.