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Finding the Fourth Proportional to 130,006, 195,009.01 and 31,510

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Solution

The fourth proportional to 130,006, 195,009.01 and 31,510 is: 47,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006 : 195,009.01 = 31,510 : x
  2. Step 2: Convert to fraction form
    130,006/195,009.01 = 31,510/x
  3. Step 3: Cross multiply
    130,006x = 195,009.01 × 31,510
  4. Step 4: Simplify right side
    130,006x = 6,144,733,905.10
  5. Step 5: Solve for x
    x = 6,144,733,905.10/130,006
  6. Step 6: Final answer
    x = 47,265.00

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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.