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Finding the Fourth Proportional to 77,742.72, 107,302.72 and 45,492.16

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Solution

The fourth proportional to 77,742.72, 107,302.72 and 45,492.16 is: 62,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742.72 : 107,302.72 = 45,492.16 : x
  2. Step 2: Convert to fraction form
    77,742.72/107,302.72 = 45,492.16/x
  3. Step 3: Cross multiply
    77,742.72x = 107,302.72 × 45,492.16
  4. Step 4: Simplify right side
    77,742.72x = 4,881,432,506.68
  5. Step 5: Solve for x
    x = 4,881,432,506.68/77,742.72
  6. Step 6: Final answer
    x = 62,789.58

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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.