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Finding the Fourth Proportional to 97,075.50, 133,938 and 56,799.15

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Solution

The fourth proportional to 97,075.50, 133,938 and 56,799.15 is: 78,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,075.50 : 133,938 = 56,799.15 : x
  2. Step 2: Convert to fraction form
    97,075.50/133,938 = 56,799.15/x
  3. Step 3: Cross multiply
    97,075.50x = 133,938 × 56,799.15
  4. Step 4: Simplify right side
    97,075.50x = 7,607,564,552.70
  5. Step 5: Solve for x
    x = 7,607,564,552.70/97,075.50
  6. Step 6: Final answer
    x = 78,367.50

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1.5x scale

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.