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Finding the Fourth Proportional to 230,072.66, 317,451.47 and 145,140.50

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Solution

The fourth proportional to 230,072.66, 317,451.47 and 145,140.50 is: 200,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,072.66 : 317,451.47 = 145,140.50 : x
  2. Step 2: Convert to fraction form
    230,072.66/317,451.47 = 145,140.50/x
  3. Step 3: Cross multiply
    230,072.66x = 317,451.47 × 145,140.50
  4. Step 4: Simplify right side
    230,072.66x = 46,075,064,355.83
  5. Step 5: Solve for x
    x = 46,075,064,355.83/230,072.66
  6. Step 6: Final answer
    x = 200,263.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.