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Finding the Fourth Proportional to 78,312.83, 117,465.59 and 25,722.77

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Solution

The fourth proportional to 78,312.83, 117,465.59 and 25,722.77 is: 38,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.83 : 117,465.59 = 25,722.77 : x
  2. Step 2: Convert to fraction form
    78,312.83/117,465.59 = 25,722.77/x
  3. Step 3: Cross multiply
    78,312.83x = 117,465.59 × 25,722.77
  4. Step 4: Simplify right side
    78,312.83x = 3,021,539,831.46
  5. Step 5: Solve for x
    x = 3,021,539,831.46/78,312.83
  6. Step 6: Final answer
    x = 38,582.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.