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Finding the Fourth Proportional to 78,157.47, 107,859.30 and 47,925.45

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Solution

The fourth proportional to 78,157.47, 107,859.30 and 47,925.45 is: 66,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.47 : 107,859.30 = 47,925.45 : x
  2. Step 2: Convert to fraction form
    78,157.47/107,859.30 = 47,925.45/x
  3. Step 3: Cross multiply
    78,157.47x = 107,859.30 × 47,925.45
  4. Step 4: Simplify right side
    78,157.47x = 5,169,205,489.19
  5. Step 5: Solve for x
    x = 5,169,205,489.19/78,157.47
  6. Step 6: Final answer
    x = 66,138.34

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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.