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Finding the Fourth Proportional to 77,176.71, 106,483.95 and 45,339.39

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Solution

The fourth proportional to 77,176.71, 106,483.95 and 45,339.39 is: 62,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,176.71 : 106,483.95 = 45,339.39 : x
  2. Step 2: Convert to fraction form
    77,176.71/106,483.95 = 45,339.39/x
  3. Step 3: Cross multiply
    77,176.71x = 106,483.95 × 45,339.39
  4. Step 4: Simplify right side
    77,176.71x = 4,827,917,337.79
  5. Step 5: Solve for x
    x = 4,827,917,337.79/77,176.71
  6. Step 6: Final answer
    x = 62,556.66

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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.