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Finding the Fourth Proportional to 130,551, 180,160.86 and 70,935

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Solution

The fourth proportional to 130,551, 180,160.86 and 70,935 is: 97,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,551 : 180,160.86 = 70,935 : x
  2. Step 2: Convert to fraction form
    130,551/180,160.86 = 70,935/x
  3. Step 3: Cross multiply
    130,551x = 180,160.86 × 70,935
  4. Step 4: Simplify right side
    130,551x = 12,779,710,604.10
  5. Step 5: Solve for x
    x = 12,779,710,604.10/130,551
  6. Step 6: Final answer
    x = 97,890.56

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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.