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Finding the Fourth Proportional to 130,962, 180,727.56 and 71,346

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Solution

The fourth proportional to 130,962, 180,727.56 and 71,346 is: 98,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,962 : 180,727.56 = 71,346 : x
  2. Step 2: Convert to fraction form
    130,962/180,727.56 = 71,346/x
  3. Step 3: Cross multiply
    130,962x = 180,727.56 × 71,346
  4. Step 4: Simplify right side
    130,962x = 12,894,188,495.76
  5. Step 5: Solve for x
    x = 12,894,188,495.76/130,962
  6. Step 6: Final answer
    x = 98,457.48

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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.