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Finding the Fourth Proportional to 151,415, 208,951 and 86,003.36

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Solution

The fourth proportional to 151,415, 208,951 and 86,003.36 is: 118,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,415 : 208,951 = 86,003.36 : x
  2. Step 2: Convert to fraction form
    151,415/208,951 = 86,003.36/x
  3. Step 3: Cross multiply
    151,415x = 208,951 × 86,003.36
  4. Step 4: Simplify right side
    151,415x = 17,970,488,075.36
  5. Step 5: Solve for x
    x = 17,970,488,075.36/151,415
  6. Step 6: Final answer
    x = 118,683.67

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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.