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Finding the Fourth Proportional to 245,854.53, 368,830.80 and 77,417.28

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Solution

The fourth proportional to 245,854.53, 368,830.80 and 77,417.28 is: 116,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,854.53 : 368,830.80 = 77,417.28 : x
  2. Step 2: Convert to fraction form
    245,854.53/368,830.80 = 77,417.28/x
  3. Step 3: Cross multiply
    245,854.53x = 368,830.80 × 77,417.28
  4. Step 4: Simplify right side
    245,854.53x = 28,553,877,316.22
  5. Step 5: Solve for x
    x = 28,553,877,316.22/245,854.53
  6. Step 6: Final answer
    x = 116,141.35

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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.