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Finding the Fourth Proportional to 105,237, 145,237.05 and 57,497.54

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Solution

The fourth proportional to 105,237, 145,237.05 and 57,497.54 is: 79,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,237 : 145,237.05 = 57,497.54 : x
  2. Step 2: Convert to fraction form
    105,237/145,237.05 = 57,497.54/x
  3. Step 3: Cross multiply
    105,237x = 145,237.05 × 57,497.54
  4. Step 4: Simplify right side
    105,237x = 8,350,772,365.67
  5. Step 5: Solve for x
    x = 8,350,772,365.67/105,237
  6. Step 6: Final answer
    x = 79,352.06

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1.5x scale

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.