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Finding the Fourth Proportional to 77,970.71, 107,599.64 and 42,160.74

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Solution

The fourth proportional to 77,970.71, 107,599.64 and 42,160.74 is: 58,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.71 : 107,599.64 = 42,160.74 : x
  2. Step 2: Convert to fraction form
    77,970.71/107,599.64 = 42,160.74/x
  3. Step 3: Cross multiply
    77,970.71x = 107,599.64 × 42,160.74
  4. Step 4: Simplify right side
    77,970.71x = 4,536,480,235.33
  5. Step 5: Solve for x
    x = 4,536,480,235.33/77,970.71
  6. Step 6: Final answer
    x = 58,181.85

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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.