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Finding the Fourth Proportional to 78,509.17, 108,347.09 and 42,698.46

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Solution

The fourth proportional to 78,509.17, 108,347.09 and 42,698.46 is: 58,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.17 : 108,347.09 = 42,698.46 : x
  2. Step 2: Convert to fraction form
    78,509.17/108,347.09 = 42,698.46/x
  3. Step 3: Cross multiply
    78,509.17x = 108,347.09 × 42,698.46
  4. Step 4: Simplify right side
    78,509.17x = 4,626,254,081.29
  5. Step 5: Solve for x
    x = 4,626,254,081.29/78,509.17
  6. Step 6: Final answer
    x = 58,926.29

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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.