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Finding the Fourth Proportional to 153,806.51, 212,258.10 and 89,270.93

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Solution

The fourth proportional to 153,806.51, 212,258.10 and 89,270.93 is: 123,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806.51 : 212,258.10 = 89,270.93 : x
  2. Step 2: Convert to fraction form
    153,806.51/212,258.10 = 89,270.93/x
  3. Step 3: Cross multiply
    153,806.51x = 212,258.10 × 89,270.93
  4. Step 4: Simplify right side
    153,806.51x = 18,948,477,987.03
  5. Step 5: Solve for x
    x = 18,948,477,987.03/153,806.51
  6. Step 6: Final answer
    x = 123,196.85

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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.