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Finding the Fourth Proportional to 77,139.84, 106,449.60 and 45,312

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Solution

The fourth proportional to 77,139.84, 106,449.60 and 45,312 is: 62,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,139.84 : 106,449.60 = 45,312 : x
  2. Step 2: Convert to fraction form
    77,139.84/106,449.60 = 45,312/x
  3. Step 3: Cross multiply
    77,139.84x = 106,449.60 × 45,312
  4. Step 4: Simplify right side
    77,139.84x = 4,823,444,275.20
  5. Step 5: Solve for x
    x = 4,823,444,275.20/77,139.84
  6. Step 6: Final answer
    x = 62,528.58

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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.