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Finding the Fourth Proportional to 198,875.94, 274,386.87 and 112,820.64

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Solution

The fourth proportional to 198,875.94, 274,386.87 and 112,820.64 is: 155,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,875.94 : 274,386.87 = 112,820.64 : x
  2. Step 2: Convert to fraction form
    198,875.94/274,386.87 = 112,820.64/x
  3. Step 3: Cross multiply
    198,875.94x = 274,386.87 × 112,820.64
  4. Step 4: Simplify right side
    198,875.94x = 30,956,502,281.00
  5. Step 5: Solve for x
    x = 30,956,502,281.00/198,875.94
  6. Step 6: Final answer
    x = 155,657.35

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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.