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Finding the Fourth Proportional to 197,643.60, 296,659.80 and 97,916.40

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Solution

The fourth proportional to 197,643.60, 296,659.80 and 97,916.40 is: 146,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,643.60 : 296,659.80 = 97,916.40 : x
  2. Step 2: Convert to fraction form
    197,643.60/296,659.80 = 97,916.40/x
  3. Step 3: Cross multiply
    197,643.60x = 296,659.80 × 97,916.40
  4. Step 4: Simplify right side
    197,643.60x = 29,047,859,640.72
  5. Step 5: Solve for x
    x = 29,047,859,640.72/197,643.60
  6. Step 6: Final answer
    x = 146,970.91

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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.