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Finding the Fourth Proportional to 130,827.60, 196,039.80 and 97,390.80

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Solution

The fourth proportional to 130,827.60, 196,039.80 and 97,390.80 is: 145,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,827.60 : 196,039.80 = 97,390.80 : x
  2. Step 2: Convert to fraction form
    130,827.60/196,039.80 = 97,390.80/x
  3. Step 3: Cross multiply
    130,827.60x = 196,039.80 × 97,390.80
  4. Step 4: Simplify right side
    130,827.60x = 19,092,472,953.84
  5. Step 5: Solve for x
    x = 19,092,472,953.84/130,827.60
  6. Step 6: Final answer
    x = 145,936.12

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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.