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Finding the Fourth Proportional to 153,773, 212,206.74 and 83,117

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Solution

The fourth proportional to 153,773, 212,206.74 and 83,117 is: 114,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,773 : 212,206.74 = 83,117 : x
  2. Step 2: Convert to fraction form
    153,773/212,206.74 = 83,117/x
  3. Step 3: Cross multiply
    153,773x = 212,206.74 × 83,117
  4. Step 4: Simplify right side
    153,773x = 17,637,987,608.58
  5. Step 5: Solve for x
    x = 17,637,987,608.58/153,773
  6. Step 6: Final answer
    x = 114,701.46

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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.