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Finding the Fourth Proportional to 145,856.60, 218,456.85 and 86,807.60

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Solution

The fourth proportional to 145,856.60, 218,456.85 and 86,807.60 is: 130,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.60 : 218,456.85 = 86,807.60 : x
  2. Step 2: Convert to fraction form
    145,856.60/218,456.85 = 86,807.60/x
  3. Step 3: Cross multiply
    145,856.60x = 218,456.85 × 86,807.60
  4. Step 4: Simplify right side
    145,856.60x = 18,963,714,852.06
  5. Step 5: Solve for x
    x = 18,963,714,852.06/145,856.60
  6. Step 6: Final answer
    x = 130,016.16

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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.