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Finding the Fourth Proportional to 134,594.16, 185,746.20 and 78,023.28

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Solution

The fourth proportional to 134,594.16, 185,746.20 and 78,023.28 is: 107,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,594.16 : 185,746.20 = 78,023.28 : x
  2. Step 2: Convert to fraction form
    134,594.16/185,746.20 = 78,023.28/x
  3. Step 3: Cross multiply
    134,594.16x = 185,746.20 × 78,023.28
  4. Step 4: Simplify right side
    134,594.16x = 14,492,527,771.54
  5. Step 5: Solve for x
    x = 14,492,527,771.54/134,594.16
  6. Step 6: Final answer
    x = 107,675.75

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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.