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Finding the Fourth Proportional to 145,340.22, 217,821.69 and 65,319.06

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Solution

The fourth proportional to 145,340.22, 217,821.69 and 65,319.06 is: 97,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,340.22 : 217,821.69 = 65,319.06 : x
  2. Step 2: Convert to fraction form
    145,340.22/217,821.69 = 65,319.06/x
  3. Step 3: Cross multiply
    145,340.22x = 217,821.69 × 65,319.06
  4. Step 4: Simplify right side
    145,340.22x = 14,227,908,038.41
  5. Step 5: Solve for x
    x = 14,227,908,038.41/145,340.22
  6. Step 6: Final answer
    x = 97,893.81

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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.