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Finding the Fourth Proportional to 153,860.54, 212,160.16 and 100,045.76

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Solution

The fourth proportional to 153,860.54, 212,160.16 and 100,045.76 is: 137,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,860.54 : 212,160.16 = 100,045.76 : x
  2. Step 2: Convert to fraction form
    153,860.54/212,160.16 = 100,045.76/x
  3. Step 3: Cross multiply
    153,860.54x = 212,160.16 × 100,045.76
  4. Step 4: Simplify right side
    153,860.54x = 21,225,724,448.92
  5. Step 5: Solve for x
    x = 21,225,724,448.92/153,860.54
  6. Step 6: Final answer
    x = 137,954.31

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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.