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Finding the Fourth Proportional to 65,097.84, 97,646.76 and 20,738.20

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Solution

The fourth proportional to 65,097.84, 97,646.76 and 20,738.20 is: 31,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.84 : 97,646.76 = 20,738.20 : x
  2. Step 2: Convert to fraction form
    65,097.84/97,646.76 = 20,738.20/x
  3. Step 3: Cross multiply
    65,097.84x = 97,646.76 × 20,738.20
  4. Step 4: Simplify right side
    65,097.84x = 2,025,018,038.23
  5. Step 5: Solve for x
    x = 2,025,018,038.23/65,097.84
  6. Step 6: Final answer
    x = 31,107.30

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1.5x scale

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.