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Finding the Fourth Proportional to 287,643.42, 431,461.49 and 87,970.32

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Solution

The fourth proportional to 287,643.42, 431,461.49 and 87,970.32 is: 131,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,643.42 : 431,461.49 = 87,970.32 : x
  2. Step 2: Convert to fraction form
    287,643.42/431,461.49 = 87,970.32/x
  3. Step 3: Cross multiply
    287,643.42x = 431,461.49 × 87,970.32
  4. Step 4: Simplify right side
    287,643.42x = 37,955,804,903.13
  5. Step 5: Solve for x
    x = 37,955,804,903.13/287,643.42
  6. Step 6: Final answer
    x = 131,954.37

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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.