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Finding the Fourth Proportional to 190,588, 263,013.48 and 105,710.52

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Solution

The fourth proportional to 190,588, 263,013.48 and 105,710.52 is: 145,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,588 : 263,013.48 = 105,710.52 : x
  2. Step 2: Convert to fraction form
    190,588/263,013.48 = 105,710.52/x
  3. Step 3: Cross multiply
    190,588x = 263,013.48 × 105,710.52
  4. Step 4: Simplify right side
    190,588x = 27,803,291,737.81
  5. Step 5: Solve for x
    x = 27,803,291,737.81/190,588
  6. Step 6: Final answer
    x = 145,881.65

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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.