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Finding the Fourth Proportional to 115,272, 159,075.36 and 62,280

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Solution

The fourth proportional to 115,272, 159,075.36 and 62,280 is: 85,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,272 : 159,075.36 = 62,280 : x
  2. Step 2: Convert to fraction form
    115,272/159,075.36 = 62,280/x
  3. Step 3: Cross multiply
    115,272x = 159,075.36 × 62,280
  4. Step 4: Simplify right side
    115,272x = 9,907,213,420.80
  5. Step 5: Solve for x
    x = 9,907,213,420.80/115,272
  6. Step 6: Final answer
    x = 85,946.40

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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.