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Finding the Fourth Proportional to 249,706.32, 374,611.32 and 83,490

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Solution

The fourth proportional to 249,706.32, 374,611.32 and 83,490 is: 125,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,706.32 : 374,611.32 = 83,490 : x
  2. Step 2: Convert to fraction form
    249,706.32/374,611.32 = 83,490/x
  3. Step 3: Cross multiply
    249,706.32x = 374,611.32 × 83,490
  4. Step 4: Simplify right side
    249,706.32x = 31,276,299,106.80
  5. Step 5: Solve for x
    x = 31,276,299,106.80/249,706.32
  6. Step 6: Final answer
    x = 125,252.33

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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.