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Finding the Fourth Proportional to 181,908.90, 251,041.23 and 105,430.50

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Solution

The fourth proportional to 181,908.90, 251,041.23 and 105,430.50 is: 145,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,908.90 : 251,041.23 = 105,430.50 : x
  2. Step 2: Convert to fraction form
    181,908.90/251,041.23 = 105,430.50/x
  3. Step 3: Cross multiply
    181,908.90x = 251,041.23 × 105,430.50
  4. Step 4: Simplify right side
    181,908.90x = 26,467,402,399.52
  5. Step 5: Solve for x
    x = 26,467,402,399.52/181,908.90
  6. Step 6: Final answer
    x = 145,498.12

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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.