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Finding the Fourth Proportional to 208,208.72, 287,328.95 and 112,715.40

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Solution

The fourth proportional to 208,208.72, 287,328.95 and 112,715.40 is: 155,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,208.72 : 287,328.95 = 112,715.40 : x
  2. Step 2: Convert to fraction form
    208,208.72/287,328.95 = 112,715.40/x
  3. Step 3: Cross multiply
    208,208.72x = 287,328.95 × 112,715.40
  4. Step 4: Simplify right side
    208,208.72x = 32,386,396,967.25
  5. Step 5: Solve for x
    x = 32,386,396,967.25/208,208.72
  6. Step 6: Final answer
    x = 155,547.75

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1.5x scale

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.