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Finding the Fourth Proportional to 97,465.37, 134,510.02 and 77,487.12

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Solution

The fourth proportional to 97,465.37, 134,510.02 and 77,487.12 is: 106,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.37 : 134,510.02 = 77,487.12 : x
  2. Step 2: Convert to fraction form
    97,465.37/134,510.02 = 77,487.12/x
  3. Step 3: Cross multiply
    97,465.37x = 134,510.02 × 77,487.12
  4. Step 4: Simplify right side
    97,465.37x = 10,422,793,867.22
  5. Step 5: Solve for x
    x = 10,422,793,867.22/97,465.37
  6. Step 6: Final answer
    x = 106,938.44

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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.