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Finding the Fourth Proportional to 157,299.74, 216,980.78 and 111,307.58

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Solution

The fourth proportional to 157,299.74, 216,980.78 and 111,307.58 is: 153,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,299.74 : 216,980.78 = 111,307.58 : x
  2. Step 2: Convert to fraction form
    157,299.74/216,980.78 = 111,307.58/x
  3. Step 3: Cross multiply
    157,299.74x = 216,980.78 × 111,307.58
  4. Step 4: Simplify right side
    157,299.74x = 24,151,604,700.55
  5. Step 5: Solve for x
    x = 24,151,604,700.55/157,299.74
  6. Step 6: Final answer
    x = 153,538.75

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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.