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Finding the Fourth Proportional to 47,256, 70,884 and 19,554.72

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Solution

The fourth proportional to 47,256, 70,884 and 19,554.72 is: 29,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,256 : 70,884 = 19,554.72 : x
  2. Step 2: Convert to fraction form
    47,256/70,884 = 19,554.72/x
  3. Step 3: Cross multiply
    47,256x = 70,884 × 19,554.72
  4. Step 4: Simplify right side
    47,256x = 1,386,116,772.48
  5. Step 5: Solve for x
    x = 1,386,116,772.48/47,256
  6. Step 6: Final answer
    x = 29,332.08

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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.