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Finding the Fourth Proportional to 78,341.49, 108,031.86 and 67,048.47

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Solution

The fourth proportional to 78,341.49, 108,031.86 and 67,048.47 is: 92,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341.49 : 108,031.86 = 67,048.47 : x
  2. Step 2: Convert to fraction form
    78,341.49/108,031.86 = 67,048.47/x
  3. Step 3: Cross multiply
    78,341.49x = 108,031.86 × 67,048.47
  4. Step 4: Simplify right side
    78,341.49x = 7,243,370,924.25
  5. Step 5: Solve for x
    x = 7,243,370,924.25/78,341.49
  6. Step 6: Final answer
    x = 92,458.94

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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.