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Finding the Fourth Proportional to 77,346, 106,555.32 and 72,695.88

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Solution

The fourth proportional to 77,346, 106,555.32 and 72,695.88 is: 100,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,346 : 106,555.32 = 72,695.88 : x
  2. Step 2: Convert to fraction form
    77,346/106,555.32 = 72,695.88/x
  3. Step 3: Cross multiply
    77,346x = 106,555.32 × 72,695.88
  4. Step 4: Simplify right side
    77,346x = 7,746,132,756.08
  5. Step 5: Solve for x
    x = 7,746,132,756.08/77,346
  6. Step 6: Final answer
    x = 100,149.11

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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.