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Finding the Fourth Proportional to 78,126.84, 107,815.14 and 42,317.16

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Solution

The fourth proportional to 78,126.84, 107,815.14 and 42,317.16 is: 58,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.84 : 107,815.14 = 42,317.16 : x
  2. Step 2: Convert to fraction form
    78,126.84/107,815.14 = 42,317.16/x
  3. Step 3: Cross multiply
    78,126.84x = 107,815.14 × 42,317.16
  4. Step 4: Simplify right side
    78,126.84x = 4,562,430,529.80
  5. Step 5: Solve for x
    x = 4,562,430,529.80/78,126.84
  6. Step 6: Final answer
    x = 58,397.74

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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.