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Finding the Fourth Proportional to 257,683.51, 386,518.94 and 99,912.02

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Solution

The fourth proportional to 257,683.51, 386,518.94 and 99,912.02 is: 149,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,683.51 : 386,518.94 = 99,912.02 : x
  2. Step 2: Convert to fraction form
    257,683.51/386,518.94 = 99,912.02/x
  3. Step 3: Cross multiply
    257,683.51x = 386,518.94 × 99,912.02
  4. Step 4: Simplify right side
    257,683.51x = 38,617,886,006.17
  5. Step 5: Solve for x
    x = 38,617,886,006.17/257,683.51
  6. Step 6: Final answer
    x = 149,865.57

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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.