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Finding the Fourth Proportional to 153,746, 212,172.72 and 86,678

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Solution

The fourth proportional to 153,746, 212,172.72 and 86,678 is: 119,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,746 : 212,172.72 = 86,678 : x
  2. Step 2: Convert to fraction form
    153,746/212,172.72 = 86,678/x
  3. Step 3: Cross multiply
    153,746x = 212,172.72 × 86,678
  4. Step 4: Simplify right side
    153,746x = 18,390,707,024.16
  5. Step 5: Solve for x
    x = 18,390,707,024.16/153,746
  6. Step 6: Final answer
    x = 119,617.47

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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.