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Finding the Fourth Proportional to 46,978.17, 70,456.47 and 28,008.18

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Solution

The fourth proportional to 46,978.17, 70,456.47 and 28,008.18 is: 42,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.17 : 70,456.47 = 28,008.18 : x
  2. Step 2: Convert to fraction form
    46,978.17/70,456.47 = 28,008.18/x
  3. Step 3: Cross multiply
    46,978.17x = 70,456.47 × 28,008.18
  4. Step 4: Simplify right side
    46,978.17x = 1,973,357,211.66
  5. Step 5: Solve for x
    x = 1,973,357,211.66/46,978.17
  6. Step 6: Final answer
    x = 42,005.83

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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.