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Finding the Fourth Proportional to 65,272, 90,075.36 and 38,776

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Solution

The fourth proportional to 65,272, 90,075.36 and 38,776 is: 53,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272 : 90,075.36 = 38,776 : x
  2. Step 2: Convert to fraction form
    65,272/90,075.36 = 38,776/x
  3. Step 3: Cross multiply
    65,272x = 90,075.36 × 38,776
  4. Step 4: Simplify right side
    65,272x = 3,492,762,159.36
  5. Step 5: Solve for x
    x = 3,492,762,159.36/65,272
  6. Step 6: Final answer
    x = 53,510.88

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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.