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Finding the Fourth Proportional to 191,533, 287,299.50 and 60,205

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Solution

The fourth proportional to 191,533, 287,299.50 and 60,205 is: 90,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,533 : 287,299.50 = 60,205 : x
  2. Step 2: Convert to fraction form
    191,533/287,299.50 = 60,205/x
  3. Step 3: Cross multiply
    191,533x = 287,299.50 × 60,205
  4. Step 4: Simplify right side
    191,533x = 17,296,866,397.50
  5. Step 5: Solve for x
    x = 17,296,866,397.50/191,533
  6. Step 6: Final answer
    x = 90,307.50

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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.