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Finding the Fourth Proportional to 134,580, 185,720.40 and 78,024.20

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Solution

The fourth proportional to 134,580, 185,720.40 and 78,024.20 is: 107,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,580 : 185,720.40 = 78,024.20 : x
  2. Step 2: Convert to fraction form
    134,580/185,720.40 = 78,024.20/x
  3. Step 3: Cross multiply
    134,580x = 185,720.40 × 78,024.20
  4. Step 4: Simplify right side
    134,580x = 14,490,685,633.68
  5. Step 5: Solve for x
    x = 14,490,685,633.68/134,580
  6. Step 6: Final answer
    x = 107,673.40

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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.