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Finding the Fourth Proportional to 153,688, 212,095.92 and 86,620

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Solution

The fourth proportional to 153,688, 212,095.92 and 86,620 is: 119,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,688 : 212,095.92 = 86,620 : x
  2. Step 2: Convert to fraction form
    153,688/212,095.92 = 86,620/x
  3. Step 3: Cross multiply
    153,688x = 212,095.92 × 86,620
  4. Step 4: Simplify right side
    153,688x = 18,371,748,590.40
  5. Step 5: Solve for x
    x = 18,371,748,590.40/153,688
  6. Step 6: Final answer
    x = 119,539.25

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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.