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Finding the Fourth Proportional to 65,312.16, 97,966.08 and 28,376.16

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Solution

The fourth proportional to 65,312.16, 97,966.08 and 28,376.16 is: 42,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312.16 : 97,966.08 = 28,376.16 : x
  2. Step 2: Convert to fraction form
    65,312.16/97,966.08 = 28,376.16/x
  3. Step 3: Cross multiply
    65,312.16x = 97,966.08 × 28,376.16
  4. Step 4: Simplify right side
    65,312.16x = 2,779,901,160.65
  5. Step 5: Solve for x
    x = 2,779,901,160.65/65,312.16
  6. Step 6: Final answer
    x = 42,563.30

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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.