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Finding the Fourth Proportional to 190,124.95, 285,079.44 and 77,673.51

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Solution

The fourth proportional to 190,124.95, 285,079.44 and 77,673.51 is: 116,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,124.95 : 285,079.44 = 77,673.51 : x
  2. Step 2: Convert to fraction form
    190,124.95/285,079.44 = 77,673.51/x
  3. Step 3: Cross multiply
    190,124.95x = 285,079.44 × 77,673.51
  4. Step 4: Simplify right side
    190,124.95x = 22,143,120,733.63
  5. Step 5: Solve for x
    x = 22,143,120,733.63/190,124.95
  6. Step 6: Final answer
    x = 116,466.15

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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.