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Finding the Fourth Proportional to 154,117, 212,681.70 and 83,461

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Solution

The fourth proportional to 154,117, 212,681.70 and 83,461 is: 115,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,117 : 212,681.70 = 83,461 : x
  2. Step 2: Convert to fraction form
    154,117/212,681.70 = 83,461/x
  3. Step 3: Cross multiply
    154,117x = 212,681.70 × 83,461
  4. Step 4: Simplify right side
    154,117x = 17,750,627,363.70
  5. Step 5: Solve for x
    x = 17,750,627,363.70/154,117
  6. Step 6: Final answer
    x = 115,176.31

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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.