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Finding the Fourth Proportional to 130,426, 195,506.52 and 51,431.76

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Solution

The fourth proportional to 130,426, 195,506.52 and 51,431.76 is: 77,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,426 : 195,506.52 = 51,431.76 : x
  2. Step 2: Convert to fraction form
    130,426/195,506.52 = 51,431.76/x
  3. Step 3: Cross multiply
    130,426x = 195,506.52 × 51,431.76
  4. Step 4: Simplify right side
    130,426x = 10,055,244,415.08
  5. Step 5: Solve for x
    x = 10,055,244,415.08/130,426
  6. Step 6: Final answer
    x = 77,095.40

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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.