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Finding the Fourth Proportional to 93,150, 128,547 and 50,706

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Solution

The fourth proportional to 93,150, 128,547 and 50,706 is: 69,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,150 : 128,547 = 50,706 : x
  2. Step 2: Convert to fraction form
    93,150/128,547 = 50,706/x
  3. Step 3: Cross multiply
    93,150x = 128,547 × 50,706
  4. Step 4: Simplify right side
    93,150x = 6,518,104,182
  5. Step 5: Solve for x
    x = 6,518,104,182/93,150
  6. Step 6: Final answer
    x = 69,974.28

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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.