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Finding the Fourth Proportional to 78,445.92, 108,100.80 and 77,465.28

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Solution

The fourth proportional to 78,445.92, 108,100.80 and 77,465.28 is: 106,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,445.92 : 108,100.80 = 77,465.28 : x
  2. Step 2: Convert to fraction form
    78,445.92/108,100.80 = 77,465.28/x
  3. Step 3: Cross multiply
    78,445.92x = 108,100.80 × 77,465.28
  4. Step 4: Simplify right side
    78,445.92x = 8,374,058,740.22
  5. Step 5: Solve for x
    x = 8,374,058,740.22/78,445.92
  6. Step 6: Final answer
    x = 106,749.45

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1.5x scale

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.