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Finding the Fourth Proportional to 93,535.88, 128,981.22 and 61,664

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Solution

The fourth proportional to 93,535.88, 128,981.22 and 61,664 is: 85,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,535.88 : 128,981.22 = 61,664 : x
  2. Step 2: Convert to fraction form
    93,535.88/128,981.22 = 61,664/x
  3. Step 3: Cross multiply
    93,535.88x = 128,981.22 × 61,664
  4. Step 4: Simplify right side
    93,535.88x = 7,953,497,950.08
  5. Step 5: Solve for x
    x = 7,953,497,950.08/93,535.88
  6. Step 6: Final answer
    x = 85,031.52

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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.