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Finding the Fourth Proportional to 77,547.68, 115,796.20 and 61,573.46

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Solution

The fourth proportional to 77,547.68, 115,796.20 and 61,573.46 is: 91,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,547.68 : 115,796.20 = 61,573.46 : x
  2. Step 2: Convert to fraction form
    77,547.68/115,796.20 = 61,573.46/x
  3. Step 3: Cross multiply
    77,547.68x = 115,796.20 × 61,573.46
  4. Step 4: Simplify right side
    77,547.68x = 7,129,972,688.85
  5. Step 5: Solve for x
    x = 7,129,972,688.85/77,547.68
  6. Step 6: Final answer
    x = 91,943.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.