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Finding the Fourth Proportional to 145,672, 218,493.36 and 106,306

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Solution

The fourth proportional to 145,672, 218,493.36 and 106,306 is: 159,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672 : 218,493.36 = 106,306 : x
  2. Step 2: Convert to fraction form
    145,672/218,493.36 = 106,306/x
  3. Step 3: Cross multiply
    145,672x = 218,493.36 × 106,306
  4. Step 4: Simplify right side
    145,672x = 23,227,155,128.16
  5. Step 5: Solve for x
    x = 23,227,155,128.16/145,672
  6. Step 6: Final answer
    x = 159,448.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.