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Finding the Fourth Proportional to 97,220.84, 145,298.49 and 70,980.84

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Solution

The fourth proportional to 97,220.84, 145,298.49 and 70,980.84 is: 106,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,220.84 : 145,298.49 = 70,980.84 : x
  2. Step 2: Convert to fraction form
    97,220.84/145,298.49 = 70,980.84/x
  3. Step 3: Cross multiply
    97,220.84x = 145,298.49 × 70,980.84
  4. Step 4: Simplify right side
    97,220.84x = 10,313,408,870.93
  5. Step 5: Solve for x
    x = 10,313,408,870.93/97,220.84
  6. Step 6: Final answer
    x = 106,082.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.