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Finding the Fourth Proportional to 249,219, 373,828.50 and 74,115

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Solution

The fourth proportional to 249,219, 373,828.50 and 74,115 is: 111,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,219 : 373,828.50 = 74,115 : x
  2. Step 2: Convert to fraction form
    249,219/373,828.50 = 74,115/x
  3. Step 3: Cross multiply
    249,219x = 373,828.50 × 74,115
  4. Step 4: Simplify right side
    249,219x = 27,706,299,277.50
  5. Step 5: Solve for x
    x = 27,706,299,277.50/249,219
  6. Step 6: Final answer
    x = 111,172.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.