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Finding the Fourth Proportional to 130,550, 180,159.48 and 70,934

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Solution

The fourth proportional to 130,550, 180,159.48 and 70,934 is: 97,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,550 : 180,159.48 = 70,934 : x
  2. Step 2: Convert to fraction form
    130,550/180,159.48 = 70,934/x
  3. Step 3: Cross multiply
    130,550x = 180,159.48 × 70,934
  4. Step 4: Simplify right side
    130,550x = 12,779,432,554.32
  5. Step 5: Solve for x
    x = 12,779,432,554.32/130,550
  6. Step 6: Final answer
    x = 97,889.18

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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.