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Finding the Fourth Proportional to 65,300.40, 97,885.80 and 30,178.80

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Solution

The fourth proportional to 65,300.40, 97,885.80 and 30,178.80 is: 45,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.40 : 97,885.80 = 30,178.80 : x
  2. Step 2: Convert to fraction form
    65,300.40/97,885.80 = 30,178.80/x
  3. Step 3: Cross multiply
    65,300.40x = 97,885.80 × 30,178.80
  4. Step 4: Simplify right side
    65,300.40x = 2,954,075,981.04
  5. Step 5: Solve for x
    x = 2,954,075,981.04/65,300.40
  6. Step 6: Final answer
    x = 45,238.25

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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.