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Finding the Fourth Proportional to 130,686, 180,346.68 and 71,070

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Solution

The fourth proportional to 130,686, 180,346.68 and 71,070 is: 98,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,686 : 180,346.68 = 71,070 : x
  2. Step 2: Convert to fraction form
    130,686/180,346.68 = 71,070/x
  3. Step 3: Cross multiply
    130,686x = 180,346.68 × 71,070
  4. Step 4: Simplify right side
    130,686x = 12,817,238,547.60
  5. Step 5: Solve for x
    x = 12,817,238,547.60/130,686
  6. Step 6: Final answer
    x = 98,076.60

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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.