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Finding the Fourth Proportional to 78,370.16, 117,978.93 and 71,395.00

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Solution

The fourth proportional to 78,370.16, 117,978.93 and 71,395.00 is: 107,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.16 : 117,978.93 = 71,395.00 : x
  2. Step 2: Convert to fraction form
    78,370.16/117,978.93 = 71,395.00/x
  3. Step 3: Cross multiply
    78,370.16x = 117,978.93 × 71,395.00
  4. Step 4: Simplify right side
    78,370.16x = 8,423,105,412.40
  5. Step 5: Solve for x
    x = 8,423,105,412.40/78,370.16
  6. Step 6: Final answer
    x = 107,478.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.