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Finding the Fourth Proportional to 65,018.16, 97,530.60 and 20,648.40

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Solution

The fourth proportional to 65,018.16, 97,530.60 and 20,648.40 is: 30,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,018.16 : 97,530.60 = 20,648.40 : x
  2. Step 2: Convert to fraction form
    65,018.16/97,530.60 = 20,648.40/x
  3. Step 3: Cross multiply
    65,018.16x = 97,530.60 × 20,648.40
  4. Step 4: Simplify right side
    65,018.16x = 2,013,850,841.04
  5. Step 5: Solve for x
    x = 2,013,850,841.04/65,018.16
  6. Step 6: Final answer
    x = 30,973.67

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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.