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Finding the Fourth Proportional to 145,321.68, 218,024.21 and 61,038.50

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Solution

The fourth proportional to 145,321.68, 218,024.21 and 61,038.50 is: 91,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,321.68 : 218,024.21 = 61,038.50 : x
  2. Step 2: Convert to fraction form
    145,321.68/218,024.21 = 61,038.50/x
  3. Step 3: Cross multiply
    145,321.68x = 218,024.21 × 61,038.50
  4. Step 4: Simplify right side
    145,321.68x = 13,307,869,461.22
  5. Step 5: Solve for x
    x = 13,307,869,461.22/145,321.68
  6. Step 6: Final answer
    x = 91,575.25

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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.