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Finding the Fourth Proportional to 86,748, 119,712.40 and 47,004

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Solution

The fourth proportional to 86,748, 119,712.40 and 47,004 is: 64,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,748 : 119,712.40 = 47,004 : x
  2. Step 2: Convert to fraction form
    86,748/119,712.40 = 47,004/x
  3. Step 3: Cross multiply
    86,748x = 119,712.40 × 47,004
  4. Step 4: Simplify right side
    86,748x = 5,626,961,649.60
  5. Step 5: Solve for x
    x = 5,626,961,649.60/86,748
  6. Step 6: Final answer
    x = 64,865.61

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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.