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Finding the Fourth Proportional to 163,985.70, 245,978.55 and 148,239.30

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Solution

The fourth proportional to 163,985.70, 245,978.55 and 148,239.30 is: 222,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,985.70 : 245,978.55 = 148,239.30 : x
  2. Step 2: Convert to fraction form
    163,985.70/245,978.55 = 148,239.30/x
  3. Step 3: Cross multiply
    163,985.70x = 245,978.55 × 148,239.30
  4. Step 4: Simplify right side
    163,985.70x = 36,463,688,067.02
  5. Step 5: Solve for x
    x = 36,463,688,067.02/163,985.70
  6. Step 6: Final answer
    x = 222,358.95

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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.