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Finding the Fourth Proportional to 98,013.60, 146,931.48 and 35,640

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Solution

The fourth proportional to 98,013.60, 146,931.48 and 35,640 is: 53,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013.60 : 146,931.48 = 35,640 : x
  2. Step 2: Convert to fraction form
    98,013.60/146,931.48 = 35,640/x
  3. Step 3: Cross multiply
    98,013.60x = 146,931.48 × 35,640
  4. Step 4: Simplify right side
    98,013.60x = 5,236,637,947.20
  5. Step 5: Solve for x
    x = 5,236,637,947.20/98,013.60
  6. Step 6: Final answer
    x = 53,427.67

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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.