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Finding the Fourth Proportional to 102,402, 153,603 and 24,578

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Solution

The fourth proportional to 102,402, 153,603 and 24,578 is: 36,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402 : 153,603 = 24,578 : x
  2. Step 2: Convert to fraction form
    102,402/153,603 = 24,578/x
  3. Step 3: Cross multiply
    102,402x = 153,603 × 24,578
  4. Step 4: Simplify right side
    102,402x = 3,775,254,534
  5. Step 5: Solve for x
    x = 3,775,254,534/102,402
  6. Step 6: Final answer
    x = 36,867

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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.