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Finding the Fourth Proportional to 153,712.93, 212,222.56 and 96,430.78

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Solution

The fourth proportional to 153,712.93, 212,222.56 and 96,430.78 is: 133,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,712.93 : 212,222.56 = 96,430.78 : x
  2. Step 2: Convert to fraction form
    153,712.93/212,222.56 = 96,430.78/x
  3. Step 3: Cross multiply
    153,712.93x = 212,222.56 × 96,430.78
  4. Step 4: Simplify right side
    153,712.93x = 20,464,786,994.40
  5. Step 5: Solve for x
    x = 20,464,786,994.40/153,712.93
  6. Step 6: Final answer
    x = 133,136.41

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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.