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Finding the Fourth Proportional to 144,088.56, 216,130.08 and 65,147.64

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Solution

The fourth proportional to 144,088.56, 216,130.08 and 65,147.64 is: 97,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,088.56 : 216,130.08 = 65,147.64 : x
  2. Step 2: Convert to fraction form
    144,088.56/216,130.08 = 65,147.64/x
  3. Step 3: Cross multiply
    144,088.56x = 216,130.08 × 65,147.64
  4. Step 4: Simplify right side
    144,088.56x = 14,080,364,645.01
  5. Step 5: Solve for x
    x = 14,080,364,645.01/144,088.56
  6. Step 6: Final answer
    x = 97,720.21

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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.