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Finding the Fourth Proportional to 153,696, 212,102.10 and 86,628

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Solution

The fourth proportional to 153,696, 212,102.10 and 86,628 is: 119,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,696 : 212,102.10 = 86,628 : x
  2. Step 2: Convert to fraction form
    153,696/212,102.10 = 86,628/x
  3. Step 3: Cross multiply
    153,696x = 212,102.10 × 86,628
  4. Step 4: Simplify right side
    153,696x = 18,373,980,718.80
  5. Step 5: Solve for x
    x = 18,373,980,718.80/153,696
  6. Step 6: Final answer
    x = 119,547.55

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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.