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Finding the Fourth Proportional to 65,316.16, 97,946.16 and 20,928.16

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Solution

The fourth proportional to 65,316.16, 97,946.16 and 20,928.16 is: 31,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,316.16 : 97,946.16 = 20,928.16 : x
  2. Step 2: Convert to fraction form
    65,316.16/97,946.16 = 20,928.16/x
  3. Step 3: Cross multiply
    65,316.16x = 97,946.16 × 20,928.16
  4. Step 4: Simplify right side
    65,316.16x = 2,049,832,907.87
  5. Step 5: Solve for x
    x = 2,049,832,907.87/65,316.16
  6. Step 6: Final answer
    x = 31,383.24

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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.