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Finding the Fourth Proportional to 47,159, 70,746.78 and 19,077.92

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Solution

The fourth proportional to 47,159, 70,746.78 and 19,077.92 is: 28,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,159 : 70,746.78 = 19,077.92 : x
  2. Step 2: Convert to fraction form
    47,159/70,746.78 = 19,077.92/x
  3. Step 3: Cross multiply
    47,159x = 70,746.78 × 19,077.92
  4. Step 4: Simplify right side
    47,159x = 1,349,701,409.10
  5. Step 5: Solve for x
    x = 1,349,701,409.10/47,159
  6. Step 6: Final answer
    x = 28,620.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.