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Finding the Fourth Proportional to 78,065.70, 107,730.84 and 42,256.02

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Solution

The fourth proportional to 78,065.70, 107,730.84 and 42,256.02 is: 58,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.70 : 107,730.84 = 42,256.02 : x
  2. Step 2: Convert to fraction form
    78,065.70/107,730.84 = 42,256.02/x
  3. Step 3: Cross multiply
    78,065.70x = 107,730.84 × 42,256.02
  4. Step 4: Simplify right side
    78,065.70x = 4,552,276,529.66
  5. Step 5: Solve for x
    x = 4,552,276,529.66/78,065.70
  6. Step 6: Final answer
    x = 58,313.40

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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.